General decay and blow-up of solutions for a nonlinear wave equation with memory and fractional boundary damping terms
Salah Boulaaras, Fares Kamache, Youcef Bouizem, Rafik Guefaifia
Abstract
Abstract The paper studies the global existence and general decay of solutions using Lyapunov functional for a nonlinear wave equation, taking into account the fractional derivative boundary condition and memory term. In addition, we establish the blow-up of solutions with nonpositive initial energy.
Topics & Concepts
MathematicsMathematical analysisNonlinear systemTerm (time)Partial differential equationWave equationOrdinary differential equationBoundary value problemBoundary (topology)Fractional calculusDifferential equationPhysicsQuantum mechanicsStability and Controllability of Differential EquationsAdvanced Mathematical Physics ProblemsAdvanced Mathematical Modeling in Engineering